document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=891237>Question 891237</A>: <I><SPAN STYLE=\"word-break: break-all;\">  I was wondering if you could help me with a problem. I have a problem that is asking me to find the volume of a pentagonal pyramid with base or side measure of 23,and height of 27. Help please?<BR>\n" );
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document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #539636 by </B><A HREF=/tutors/aboutme.mpl?userid=KMST><B>KMST(5328)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=KMST><IMG SRC=http://www.algebra.com/images/aboutme-small.gif BORDER=0 alt=\"About Me\" VALIGN=MIDDLE></A>&nbsp;<IMG SRC=http://www.algebra.com/cgi-bin/show-face.mpl?user=KMST><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=539636\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> The volume is 1/3 times the area of the base, times the height.<BR>\n" );
document.write( "You may have been given a formula to calculate the area of a regular polygon.<BR>\n" );
document.write( "A regular pentagon (one whose sides all have the same length and whose angles all have the same measure) can be cut, like a pizza into 5 identical isosceles triangles.<BR>\n" );
document.write( "In your pentagon, those triangles would have a base length of 23 and angles measuring 72, 54, and 54 degrees.<BR>\n" );
document.write( "The height would be <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=23%2Atan%2854%29 ALIGN=MIDDLE  ALT=\"23%2Atan%2854%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > , and the tangent of <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=54%5Eo ALIGN=MIDDLE  ALT=\"54%5Eo\"   DISABLED_style= \"max-width:90%; height:auto;\" > is approximately<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=tan%2854%5Eo%29=1.3764 ALIGN=MIDDLE  ALT=\"tan%2854%5Eo%29=1.3764\"   DISABLED_style= \"max-width:90%; height:auto;\" > .<BR>\n" );
document.write( "So the area of the pentagon is approximately<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=23%2A23%2A1.3764%2A5%2F2=1820.289 ALIGN=MIDDLE  ALT=\"23%2A23%2A1.3764%2A5%2F2=1820.289\"   DISABLED_style= \"max-width:90%; height:auto;\" > .<BR>\n" );
document.write( "Let's round that to 1820.<BR>\n" );
document.write( "Then, the volume of a pyramid with a base area of 1820 area units and a height of 27 units , calculated in volume units, would be<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%281%2F3%29%2A1820%2A27=16380 ALIGN=MIDDLE  ALT=\"%281%2F3%29%2A1820%2A27=16380\"   DISABLED_style= \"max-width:90%; height:auto;\" > . </SPAN>\n" );
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